Greatest Common Factor of 8190/33, 7042/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8190/33, 7042/137

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8190/33,7042/137

Given fractions are 8190/33,7042/137

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8190,7042

Greatest Common Factor of Numerators i.e. GCF of 8190,7042 is 14 .

LCM of Denominators means LCM of 33,137 as per the given fractions.

LCM of 33,137 is 4521 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8190,7042

GCF of Fractions 8190/33,7042/137 is 14/4521

2 8190, 7042
7 4095, 3521
585, 503

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 8190,7042 By Matching Biggest Common Factor Method

Greatest Common Factor of 8190,7042 By Matching Biggest Common Factor Method

Factors of 8190

List of positive integer factors of 8190 that divides 8190 without a remainder.

1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190

Factors of 7042

List of positive integer factors of 7042 that divides 7042 without a remainder.

1,2,7,14,503,1006,3521,7042

Greatest Common Factor

We found the factors 8190,7042 . The biggest common factor number is the GCF number.
So the greatest common factor 8190,7042 is 14.

Lets's calculate LCM of 33,137

Given numbers has no common factors except 1. So, there LCM is their product i.e 4521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/4521

Therefore, the GCF of Fractions 8190/33,7042/137 is 14/4521

Least Common Multiple of 33,137 with GCF Formula

Least Common Multiple of 33,137 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 33,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,137) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(33,137) x common factors =1 x 1 = 1

LCM(33,137) = ( 33 × 137 ) / 1

LCM(33,137) = 4521 / 1

LCM(33,137) = 4521


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8190/33, 7042/137

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8190/33, 7042/137?

Answer: GCF of Numerators as per given numbers 8190/33, 7042/137 is

GCF of Numerators i.e. for 8190,7042 is 14

LCM of denominators i.e. for 33,137 is 4521.

Thus, GCF of Fractions is 14/4521.Finally, GCF of Fractions for 8190/33, 7042/137 is 14/4521.